We assume a firm’s production is determined on two inputs, capital(K) and labour(L). (a) Suppose that a firms out put is given by: _q _= _αLK_2 Where _α _is a productivity factor. i. Specify the marginal products of labour and capital. If the cost function is _C _= _wL _+ _rK_. Specify the quantites of capital and Labour that minimize costs

We assume a firm’s production is determined on two inputs, capital(K)
and labour(L).

(a)    Suppose that a firms out put is given
by: _q _= _αLK_2

Where _α _is a productivity factor.

i. Specify the marginal products of labour and capital.

If the cost function is _C _= _wL _+ _rK_. Specify the quantites
of capital and Labour that minimize costs